Math

Refine Search

Who is known as the father of geometry?

"The Elements" is essentially a compendium of all of the mathematical knowledge available to Euclid and is notable for its systematic approach. It begins with a series of 10 axioms and extends these axioms by a series of mathematical proofs to 465 postulates or theorems, covering both plane and solid geometry as well as ratios and proportions. In his honor, plane and spatial geometry are often known as Euclidean geometry.

Continue Reading

What are the four steps for solving an equation?

A person should combine terms on either side of the equation before trying to solve. For example, if the equation is 2x + 4x = 24x, 2x and 4x should be added together before going any further. This makes the equation 6x = 24x. Isolating terms that contain variables involves getting the variable to one side of the equation. If the equation reads 2 + y = 46, y must stand alone on one side. The 2 must be subtracted from both sides so that the equation reads y = 44.In some instances, the variable must be isolated, 6 = x/3 for example. Here, x/3 needs to be multiplied by 3 to get x by itself. Lastl..

Continue Reading

How do you make a factor tree?

Write the numberWrite the number you are asked to factor at the top of a piece of paper. Break the number down onceDetermine two numbers that can be multiplied together to create the number you wrote down. Draw a small, vertical line under the first number slightly to the left. Write the first factor under this line. Draw a second vertical line under the first number slightly to the right. Write the second factor under this line.Break down the factorsCalculate two numbers that can be multiplied to create the first factor of the larger number. Draw two vertical lines under the first factor, and..

Continue Reading

What are the common factors of 60?

To find the common factors of two or more numbers, first find the factors of each number. Then, look to see what factors all numbers have in common. A problem may ask the solver to find the common factors of 20 and 25. First, it is necessary to find the factors of 20, which are 1, 2, 4, 5, and 20 Then, find the factors of 25, which are 1, 5, and 25. Finally, look at which factors both numbers have in common. In this case, those numbers are 1 and 5. Some math problems ask to find the largest common factors of numbers. This is also known as the greatest common factor, which is simply the largest..

Continue Reading

What are rectangular coordinates?

Rene Descartes invented the Cartesian, or rectangular, coordinate system in the 17th century. In contrast, polar coordinates express the location on the graph in terms of a distance, r, from the origin point (0.0), which is where the x and y axes cross, and an angle measurement from the x-axis. According to the Pythagorean theorem, the distance from the origin of a Cartesian point (x,y) is the square root of the sum of x squared and y squared.

Continue Reading

How do you calculate an inverse matrix in Matlab?

Input the matrix in MATLABOpen MATLAB, and put the cursor in the console window. Choose a variable name for the matrix, and type it in the window. For instance, if the matrix is called "A," type "A = " in the console window. Now, type "[" (left square bracket), followed by the entries of the matrix, type the entries of the matrix, using a semi-colon at the end of each row. Finally, type "]" (right square bracket), and hit the "Enter" key.Use MATLAB's built-In command to find the inverseIn the console window, type "inv(". Then type your variable name, followed by ")". For instance, if the ..

Continue Reading

How do you convert meters to feet with a calculator?

Type the number of metersInput into the calculator the numbers of meters to be converted into feet.Multiply by 3.2808Hit the Multiply key, then input 3.2808.Hit the Equals keyPress the Equals key. The number of feet will be displayed on the calculator in decimal form. The number after the decimal point does not represent the number of inches, but rather a fraction of a foot.

Continue Reading

What does water do at a temperature of 273 degrees Kelvin?

Zero Kelvin is also called absolute zero. It is the temperature at which molecular energy is at a minimum. To convert from Kelvin to Celsius, 273.15 is added to the Kelvin temperature. Pure water freezes at 273.15 Kelvin and boils at 373.15 Kelvin.\nKelvin is commonly used in physics, chemistry and astronomy. The Kelvin scale is easier to use in formulas and calculations than Celsius because it has no negative values. Because of this, the Kelvin scale is the international standard for temperature measurements.

Continue Reading

How do you find the shaded area of a circle?

If 120 degrees of a circle with a radius of 10 centimeters was shaded, the area of the full circle would be 100*pi. Since 120 degrees is exactly one-third of a full circle, multiplying the circle area by 1/3 would yield the shaded area of the circle as 100*pi*1/3, or approximately 104.67 square centimeters.

Continue Reading

What is the largest amount of money in coin you can have that does not make change for a dollar?

The problem is solved by considering first the largest denomination of coin and working down to the smallest. A half dollar gives 50 cents to start. Two half dollars would give change for a dollar, but adding a quarter would give 75 cents. Another quarter added to the mix would be enough for a dollar. Three dimes is just over a dollar, yet cannot provide exact change. Four dimes also cannot give exact change, but five dimes can, so the maximum number of dimes must be four. A nickel added to the collection can provide change enough for a dollar by pairing the nickel with two of the dimes. Since..

Continue Reading
Showing 1461 to 1470 of 3956 (396 Pages)